Answer:
C
Step-by-step explanation:
The sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 3, thus
= 1 + 3(n - 1) = 1 + 3n - 3 = 3n - 2 → C
The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
<h3>How to solve the trigonometry ratios?</h3>
The equations are given as:
tan(x)=sin38°
cosec( x+10°)=1.345
In tan(x)=sin38°, we have:
tan(x)=0.6157
Take the arc tan of both sides
x = 31.6
Also, we have:
cosec(x+10°)=1.345
Take the inverse of both sides
sin(x+10°) = 0.7434
Take the arc sin of both sides
x+10 = 48.0
Subtract 10 from both sides
x = 38.0
Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
Read more about trigonometry ratios at:
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Answer:
Step-by-step explanation:
The goal to solving any equation is to have x = {something}. That means we need to get the x out from underneath that radical. It's a square root, so we can "undo" it by squaring. Square both sides because this is an equation. Squaring both sides gives you

Get everything on one side of the equals sign and set the quadratic equal to 0:

Throw this into the quadratic formula to get that the solutions are x = 5 and -8. We need to see if only one works, both work, or neither work in the original equation.
Does
?
and

and 5 = 5. So 5 works. Let's try -8 now:
and
so

-8 = 8? No it doesn't. So only 5 works. Your choice is the third one down.
Answer:
17b
Step-by-step explanation:
Total volume of water = amount of water in each bottle x total number of bottles. The equation that relates the number of bottle of water (b) to the total volume of the water (w) in fluid ounces is w = 17b
Answer:
Value of x --> 15°
<u>Step-by-step explanation:</u>
(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.
---> (2x + 60°) + 6x = 180°
2x + 60° + 6x = 180°
8x + 60° = 180°
8x = 180°- 60°
8x = 120
x = 
<h3><u>x equals 15°</u></h3>